This documentation describes two types of schemes allowing to stabilize the numerical discretizations of the models: the semi-implicit scheme and the iterative centred-implicit scheme (sometimes called predictor-corrector scheme). An algorithmic description to different types of equations, and some technical information (organigramme) are provided.

CETTE DOCUMENTATION DECRIT DEUX TYPES DE SCHEMAS PERMETTANT DE STABILISER LES DISCRETISATIONS NUMERIQUES DES MODELES: LE SCHEMA SEMI-IMPLICITE ET LE SCHEMA ICI (CENTRE IMPLICITE ITERATIF) ENCORE APPELE PREDICTEUR-CORRECTEUR. ON FOURNIT UNE APPLICATION DE CES ALGORITHMES A DIFFERENTS JEUX D’EQUATIONS, AINSI QUE DES INFORMATIONS TECHNIQUES (ORGANIGRAMME).

• 01/ Introduction.
• 02/ Denotations.
• 03/ General considerations.
• 04/ Prognostic variables and quantities involved in the semi-implicit scheme.
• 05/ Semi-implicit scheme and inversion of Helmholtz equation.
• 06/ Inclusion of Coriolis term in the semi-implicit scheme.
• 07/ Spectral multiplications by polynomial expressions of the mapping factor.
• 08/ Organigramme of the spectral part of the semi-implicit computations.
• 09/ Other remarks.
• 10/ Precomputed module and namelist quantities.
• 11/ References.